Question

Let X represent the time it takes from when someone enters the line for a roller...

Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Consider the probability model defined by the cumulative distribution function given below.


0 x < 3
F(x) = (x-3)/1.08 3 < x < 4.08
1 x > 4.08



a) What is E(X)? Give your answer to three decimal places.  

b) What is the value c such that P(X < c) = 0.78? Give your answer to four decimal places.  

c) What is the probability that X falls within 0.26 minutes of its mean? Give your answer to four decimal places.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Roller coaster ride: A roller coaster is being designed that will accommodate 60 riders. The maximum...
Roller coaster ride: A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can hold safely is 12,000 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 194 pounds and standard deviation 68 pounds, and the weights of adult U.S. women have mean 164 pounds and standard deviation 77 pounds. Use the TI-84 Plus calculator. Part 1 of 3 (a) If 60 people are riding the coaster,...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x distribution is about $14 and the estimated standard deviation is about $5. (b) What is the probability that x is between $12 and $16? (Round your answer to four decimal places.) (c) Let us assume that x has a distribution that is approximately normal. What is the probability that x is between $12...
The accompanying data represent x = treadmill run time to exhaustion (min) and y = 20...
The accompanying data represent x = treadmill run time to exhaustion (min) and y = 20 km ski time (min). x 7.7 8.4 8.7 9.0 9.6 9.6 10 10.3 10.5 11 11.8 y 71.0 71.4 65.0 68.7 64.4 69.4 63 64.9 66.7 62.2 61.6 sum x = 106.6 sum x^2 = 1047.44 sum y = 728.3 sum xy = 7024.64 sum y^2 = 48340.67 (a) Determine the equation of the estimated regression line. (Give the answers to four decimal places.)...
Let x denote the time it takes to run a road race. Suppose x is approximately...
Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 205 minutes? Round your answer to four decimal places. P= #2 Let x denote the time it takes to run a road race. Suppose x is approximately...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping...
Let x represent the dollar amount spent on supermarket impulse buying in a 10-minute (unplanned) shopping interval. Based on a certain article, the mean of the x distribution is about $36 and the estimated standard deviation is about $7. (a) Consider a random sample of n = 40 customers, each of whom has 10 minutes of unplanned shopping time in a supermarket. From the central limit theorem, what can you say about the probability distribution of x, the average amount...
X ~ N(60, 11). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(60, 11). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ΣX be the random variable of sums. Part (b) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) X ~ ,_____ (______, _____) Part (c) Find the probability. (Round your answer to four decimal places.) P(X < 60) = Part (d) Find the 20th percentile. (Round your answer to two...
A cement truck delivers mixed cement to a large construction site. Let x represent the cycle...
A cement truck delivers mixed cement to a large construction site. Let x represent the cycle time in minutes for the truck to leave the construction site, go back to the cement plant, fill up, and return to the construction site with another load of cement. From past experience, it is known that the mean cycle time is μ = 40 minutes with σ = 19 minutes. The x distribution is approximately normal. a) What is the probability that the...
X ~ N(70, 9). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(70, 9). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ΣX be the random variable of sums. B) Give the distribution of X. (Enter an exact number as an integer, fraction, or decimal.) C)Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.) P(X < 70) = D)Find the 20th percentile....
X ~ N(50, 9). Suppose that you form random samples of 25 from this distribution. Let...
X ~ N(50, 9). Suppose that you form random samples of 25 from this distribution. Let X  be the random variable of averages. Let ΣX be the random variable of sums. A. Find the 30th percentile. (Round your answer to two decimal places.) B. find the probability. (Round your answer to four decimal places.) P(18 < X < 49) = C. Give the distribution of ΣX. D. Find the minimum value for the upper quartile for ΣX. (Round your answer to...
Let X be a continuous random variable with the probability density function f(x) = C x,...
Let X be a continuous random variable with the probability density function f(x) = C x, 6 ≤ x ≤ 25, zero otherwise. a. Find the value of C that would make f(x) a valid probability density function. Enter a fraction (e.g. 2/5): C = b. Find the probability P(X > 16). Give your answer to 4 decimal places. c. Find the mean of the probability distribution of X. Give your answer to 4 decimal places. d. Find the median...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT